In many extensions of the Standard Model the presence of an extra neutral b
oson, Z', is invoked. A precision study of weak neutral-current exchange pr
ocesses involving only second generation fermions is still missing. We prop
ose a search for Z' in muon neutrino associated charm production. This proc
ess only involves Z' couplings with fermions from the second generation. An
experimental method is thoroughly described using an ideal detector. As an
application, the accuracy reachable with present and future experiments ha
s been estimated. (C) 2000 Elsevier Science B.V. All rights reserved.